[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-621405-105":59,"doc-detail-621405-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","level-2-certificate-further-mathematics-formulae-sheet-june-2027","Level 2 Certificate Further Mathematics - Formulae Sheet - June 2027","","This document serves as an essential formulae sheet for the AQA Level 2 Certificate in Further Mathematics, specifically intended for examination sessions in June 2027. It provides a comprehensive reference of mathematical formulas required for the curriculum, covering key areas such as perimeter, area, and volume, including specific formulas for trapeziums, prisms, and circles. Furthermore, the document outlines critical algebraic and trigonometric identities, such as the quadratic formula, Pythagoras' Theorem, the sine rule, the cosine rule, and trigonometric ratios for right-angled and general triangles. It also details coordinate geometry foundations, including the equation of a straight line and the general equation of a circle. This structured summary supports students by consolidating necessary mathematical tools for problem-solving, ensuring accuracy and consistency in advanced mathematical assessments.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/level-2-certificate-further-mathematics-formulae-sheet-june-2027/621405/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/level-2-certificate-further-mathematics-formulae-sheet-june-2027/621405.png","ImageObject",300,407,{"name":92,"@type":93},"Chumphorn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What specific geometric area formulas are included in this document?","Question",{"text":113,"@type":114},"The document provides formulas for the area of a trapezium (1/2(a+b)h), the volume of a prism (cross-section area × length), and the circumference and area of a circle.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the sine rule defined in this formula sheet?",{"text":118,"@type":114},"The sine rule is defined for any triangle ABC with side lengths a, b, and c as sinA/a = sinB/b = sinC/c.",{"name":120,"@type":111,"acceptedAnswer":121},"What information is provided regarding coordinate geometry?",{"text":122,"@type":114},"The sheet includes the equation of a straight line passing through a point with a specific gradient, and the general equation of a circle defined by its center (a, b) and radius r.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},621405,1793047521,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Level 2 Certificate  \nFURTHER MATHEMATICS  \nFormulae Sheet  \nInsert  \nIB/G/Insert to Level 2 Certificate Further Mathematics/G4006/V6 FOR EXAMS IN JUNE 2027 ONLY  \n8365  \nPerimeter, area and volume  \nWhere a and b are the lengths of the parallel sides and h is their perpendicular separation:  \nArea of a trapezium = 12 (a + b) h  \nVolume of a prism = area of cross section × length  \nWhere r is the radius and d is the diameter: Circumference of a circle = 2πr = πd Area of a circle = πr2  \nQuadratic formula  \nThe solution of ax2 + bx + c = 0 where a ≠ 0  \nx = –~~ ~~b~~ ~~±~~ ~~b22a~~ ~~–~~ ~~4ac  \nPythagoras’ Theorem and Trigonometry  \nIn any right-angled triangle where a, b and c are the length of the sides and c is the hypotenuse:  \na 2 + b2 = c 2  \nIn any right-angled triangle ABC where a, b and care the length of the sides and c is the hypotenuse:  \nsinA = ac~~ ~~ cos A = bc~~ ~~ tan A = ab  \nIn any triangle ABC where a, b and c are the length of the sides:  \nsine rule: sianA = sibnB = sicnC  \ncosine rule: a 2 = b 2 + c 2 – 2bc cos A Area of triangle = 12 ab sin C For any angle θ tan θ = scoinsθ~~θ~~  \nand sin2 θ + cos2 θ = 1  \nCoordinate Geometry  \nEquation of a straight line passing through (x1 , y 1) with gradient m y –y 1 = m(x – x1)  \nThe general equation of a circle, centre (a, b), radius r (x – a)2 + ( y – b)2 = r2  \nCopyright © 2027 AQA and its licensors. All rights reserved.  \nIB/G/Insert to Level 2 Certificate Further Mathematics FOR EXAMS IN JUNE 2027 ONLY","cbCaibflMO1Oww96","https://ap.wps.com/l/cbCaibflMO1Oww96","pdf",656329,"English","# Perimeter, area and volume\n# Quadratic formula\n# Pythagoras’ Theorem and Trigonometry\n# Coordinate Geometry","[{\"question\":\"What specific geometric area formulas are included in this document?\",\"answer\":\"The document provides formulas for the area of a trapezium (1/2(a+b)h), the volume of a prism (cross-section area × length), and the circumference and area of a circle.\"},{\"question\":\"How is the sine rule defined in this formula sheet?\",\"answer\":\"The sine rule is defined for any triangle ABC with side lengths a, b, and c as sinA/a = sinB/b = sinC/c.\"},{\"question\":\"What information is provided regarding coordinate geometry?\",\"answer\":\"The sheet includes the equation of a straight line passing through a point with a specific gradient, and the general equation of a circle defined by its center (a, b) and radius r.\"}]","Level 2 Certificate Further Mathematics - Formulae Sheet - June 2027 | PDF",1792465492]